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Analysis and Geometry of Markov Diffusion Operators - Bakry, Dominique a Gentil, Ivan a Ledoux, Michel

It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations.

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